No, it's so uncommon for state withholding to appear on the SSA-1099 and other documents which is why there is a specific entry to make sure it is included.
It's quite likely the state wants to see the withholding which is why the e-file is prohibited. Be sure to make a copy of your SSA-1099 to send with your state return and keep a copy for yourself.
@AJA9
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